Test following ODES for exactness. If exact, find General solution. Do detailed Curve Sketching analysis (Domain, Intercepts, Symmetry, Asymptotes, Intervals of Increase or Decrease, Local maximum and minimum, Concavity and points of Inflection, Sketch the function/ Plot the graph) of solution. Choose value of constant of integration on your own. (xy + 1)dx + (xy – 1)dy = 0 |

Q: y=2(squareroot)x X sin(squareroot)x Find the Derivative

A: Given,           y=2xsinx

Q: 29. Y = tanx 2x²+1

A:

Q: Estimate the instantaneous rate of change of y(x) 4 at the %3D x+ 1 point x = - 2

A:

Q: Differentiate the function y= In (8x-9x +2). %3D %3D y'%=D

A:

Q: F(t) = 3t4+413–2t²e? -2t2+1 - %3D

A: Since there are multiple questions present, according to company policy we will be answering only…

Q: Assume the velocity of a person traveling along a straight hiking trail is given by the graph. The…

A: Answer is Yes.

Q: xy(dx-dy) = x²dy + y?dx; when x = 2, y = 0

A:

Q: Find the average rate of change of the function f(x) Average rate of change = Give exact answer! =…

A: Given,            The function is fx=2x2-3x+1, on the interval x ∈ 0,1.To find : Find the average…

Q: Find y' for the function. (y-4)²-3x² y br |5

A:

Q: Find the average rate of change of the function f(x) = Average rate of change = Give exact answer!…

A:

Q: Q1. Integrate the following functions with respect to x: y = 3x2 (1+x³)*

A: Explanation of the answer is as follows

Q: Show that if a ú an odd integer, thn a =1 (md 16).

A:

Q: Estimate the slope of the tangent line of the function y(x) = 24 at x = 1. 2+x (Use decimal…

A:

Q: Find the equation in slope-intercept form of the line tangent to f(x) = 4x² + 4x − 9 at x = 3 . The…

A: Here we have to find the equation of line.

Q: Direction: Find the equation of the tangent line to the function at x=a. 3. y = V5x + 4 at x= 1 4. y…

A:

Q: 2. Find the derivative of y =

A:

Q: How are derivatives and second derivatives used to solve an optimization problem?

A: We need to figure out that how derivatives and second derivatives used to solve an optimization…

Q: Find the equation of the line tangent to the curve f(x)=x+ at the point (5, 26/25) 1 %3D

A:

Q: Domain and range of y= 7/x+1

A:

Numerical Integration

In a mathematical investigation, numerical integration comprises a wide group of calculations for computing the mathematical estimation of definite integral, and likewise, the term is moreover in some cases used to depict the numerical solution of differential equations. The most important aspect of this theory is error analysis.